Question

How do you write the equation of the circle with center (4,5) and radius 2?

Answer 1

`(x-4)^2+(y-5)^2=4`

Explanation:

The general equation of a circle with center `(a,b)` and radius `r` is
`color(white)("XXX")(x-a)^2+(y-b)^2=r^2`

Substituting the given values for the center and radius gives the equation above.